MathDB

Problem 6 of First round

Source: IX International Festival of Young Mathematicians Sozopol, Theme for 10-12 grade

September 21, 2018

functional equationfunctionalgebra

Problem Statement

Find all functions

f:\mathbb{R}\rightarrow\mathbb{R}

, such that

f(x+y) = f(y) f(x f(y))

for every two real numbers

x

and

y